149.5 is what percent of 166 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 166 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 166, so we can write it down as 100%=166.
4. We know, that x% equals 149.5 of the output value, so we can write it down as x%=149.5.
5. Now we have two simple equations:
1) 100%=166
2) x%=149.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=166/149.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.5 is what percent of 166

100%/x%=166/149.5
(100/x)*x=(166/149.5)*x       - we multiply both sides of the equation by x
100=1.1103678929766*x       - we divide both sides of the equation by (1.1103678929766) to get x
100/1.1103678929766=x
90.060240963855=x
x=90.060240963855

now we have:
149.5 is 90.060240963855% of 166